45185291424 has 480 divisors, whose sum is σ = 170686897920. Its totient is φ = 11397500928.

The previous prime is 45185291419. The next prime is 45185291449. The reversal of 45185291424 is 42419258154.

45185291424 is a `hidden beast` number, since 4 + 518 + 5 + 2 + 91 + 42 + 4 = 666.

It is a super-2 number, since 2×45185291424² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45185291424.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5420892 + ... + 5429220.

It is an arithmetic number, because the mean of its divisors is an integer number (355597704).

Almost surely, 2^45185291424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45185291424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85343448960).

45185291424 is an abundant number, since it is smaller than the sum of its proper divisors (125501606496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45185291424 is a wasteful number, since it uses less digits than its factorization.

45185291424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8394 (or 8377 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 45185291424 in words is "forty-five billion, one hundred eighty-five million, two hundred ninety-one thousand, four hundred twenty-four".